Write a program that prompts the user to enter the points of a convex polygon an

Question

Write a program that prompts the user to enter the points of a convex polygon and display its area. ASuume that the polygon has six end points and the points are entered clockwise. For the definition of a convex polygon, see www.mathopenref.com/polygonconvex.html. Hint: the total area of a polygon is the sum of the areas of the small triangles.

Write a function called areaPolygon that solves the problem.

(2) Write a main function that:

? enters the coordinates of the points of a polygon;

? calls the areaPolygon function;

? outputs the area of the polygon.

Important note: No global variables and arrays should be declared.

(3) Test your program with appropriate input data (at least three set of input data)

Need the code in c++

Explanation / Answer

#include <iostream>

using namespace std;

double areaPolygon(int x[6], int y[6])

{

double area;

int sum1 = 0;

int sum2 = 0;

for(int i=5; i>=0; i--)

{

if(i == 0)

{

sum1 = sum1 + x[i]*y[5];

cout<<"sum1: "<<sum1<<endl;

sum2 = sum2 + y[i]*x[5];

cout<<"sum2: "<<sum2<<endl;

}

else

{

sum1 = sum1 + x[i]*y[i-1];

cout<<"sum1: "<<sum1<<endl;

sum2 = sum2 + y[i]*x[i-1];

cout<<"sum2: "<<sum2<<endl;

}

}

area = 0.5 * (sum1 - sum2);

return area;

}

int main()

{

int xCoord[6];

int yCoord[6];

double polygonArea;

cout << "Enter 6 points of convex Polygon clockwise" << endl;

for(int i =0 ;i<6; i++)

{

cout<<"x co-ordinates: ";

cin>>xCoord[i];

cout<<"y co-ordinates: ";

cin>>yCoord[i];

}

polygonArea =areaPolygon(xCoord,yCoord);

cout<<"Area of Polygon: "<<polygonArea;

return 0;

}

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